# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_nil))))))))<=>~(s(X1,X2)=s(X1,X3))),file('i/f/HolSmt/r064', ch4s_HolSmts_r064)).
fof(4, axiom,![X5]:![X6]:![X7]:((p(s(t_bool,X7))<=>s(t_bool,X6)=s(t_bool,X5))<=>((p(s(t_bool,X7))|(p(s(t_bool,X6))|p(s(t_bool,X5))))&((p(s(t_bool,X7))|(~(p(s(t_bool,X5)))|~(p(s(t_bool,X6)))))&((p(s(t_bool,X6))|(~(p(s(t_bool,X5)))|~(p(s(t_bool,X7)))))&(p(s(t_bool,X5))|(~(p(s(t_bool,X6)))|~(p(s(t_bool,X7))))))))),file('i/f/HolSmt/r064', ah4s_sats_dcu_u_eq)).
fof(6, axiom,![X1]:s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,t),file('i/f/HolSmt/r064', ah4s_lists_ALLu_u_DISTINCT0u_c0)).
fof(7, axiom,![X1]:![X4]:![X8]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X4))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X4)))))),file('i/f/HolSmt/r064', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(8, axiom,![X1]:![X3]:![X4]:![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X4))))))))<=>(s(X1,X3)=s(X1,X8)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))),file('i/f/HolSmt/r064', ah4s_lists_MEMu_c1)).
fof(9, axiom,![X1]:![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(t_bool,f),file('i/f/HolSmt/r064', ah4s_lists_MEMu_c0)).
fof(10, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r064', aHLu_TRUTH)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/HolSmt/r064', aHLu_BOOLu_CASES)).
fof(17, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/HolSmt/r064', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(18, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r064', aHLu_FALSITY)).
# SZS output end CNFRefutation
